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fgiga [73]
3 years ago
14

Find the x-intercepts of the parabola with vertex (-7,45)

Mathematics
1 answer:
REY [17]3 years ago
3 0
Use the vertex form,
y=a(x-h)^2+ky=a(x+7)^2+45
<span>Use the y-intercept to solve for a</span>-200=a(0+7)^2+45
49a+45=-20049a=-245a=-5



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Select yes or no to indicate whether a zero must be written in the dividend to find the quotient
neonofarm [45]

Answer:

2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

Step-by-step explanation:

We have that when two numbers are divided, they can be written in the form \frac{p}{q}, where p is the dividend and q is the divisor.

Now, when we divide 5.2 by 8, we can write \frac{5.2}{8}

Also, the division 3.63 by 3, can be written as \frac{3.63}{3} = 1.21

Further, when we divide 71.1 by 3, we can write \frac{71.1}{3} = 23.7

We can see that above divisions are easy divisions and do not require to write any type of 0 in the numerator.

Moreover, when we divide 2.25 by 0.6, we can write \frac{2.25}{0.6} = \frac{2.25\times 10}{6}.

So, we get that in the last division, we need to write a zero in order to multiply the numerator with 10 for easy division.

Hence, 2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

3 0
3 years ago
Triangles QPT and QRS are similar. Find x.
Step2247 [10]

Answer:

from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.

6 0
3 years ago
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Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

\sqrt[n]{x^{m}}=x^{\frac{m}{n}}

Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}}  \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }

Therefore, the right answer is <em>three to the three fifths power.</em>

3 0
3 years ago
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A circle is defined by the equation given below.
Ierofanga [76]
The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".

x²+y²-8x-6y+2 =0 -----(a)
(x-4)² = x² - 8x + 16
(y-3)² = y² - 6y + 9

Equation (a) can be rewritten as:
(x-4)² + (y-3)² + 2 - 16 - 9 = 0
(x-4)² + (y-3)² = 23

The coordinates for the center of the circle is: ( 4,3)
The radius is √23=4.8
5 0
3 years ago
4 1/15 round to the nearest 1000th
emmainna [20.7K]

Answer:

0.067

Step-by-step explanation:

6 0
3 years ago
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